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Finding the Fourth Proportional to 5,142.52, 7,097.12 and 4,301.74

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Solution

The fourth proportional to 5,142.52, 7,097.12 and 4,301.74 is: 5,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.52 : 7,097.12 = 4,301.74 : x
  2. Step 2: Convert to fraction form
    5,142.52/7,097.12 = 4,301.74/x
  3. Step 3: Cross multiply
    5,142.52x = 7,097.12 × 4,301.74
  4. Step 4: Simplify right side
    5,142.52x = 30,529,964.99
  5. Step 5: Solve for x
    x = 30,529,964.99/5,142.52
  6. Step 6: Final answer
    x = 5,936.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.